1282121948640 has 384 divisors, whose sum is σ = 4689948211200. Its totient is φ = 291695247360.

The previous prime is 1282121948623. The next prime is 1282121948687. The reversal of 1282121948640 is 468491212821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1282121948640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4729081 + ... + 4992839.

It is an arithmetic number, because the mean of its divisors is an integer number (12213406800).

Almost surely, 2^{1282121948640} is an apocalyptic number.

1282121948640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282121948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344974105600).

1282121948640 is an abundant number, since it is smaller than the sum of its proper divisors (3407826262560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1282121948640 is a wasteful number, since it uses less digits than its factorization.

1282121948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263850 (or 263842 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1282121948640 in words is "one trillion, two hundred eighty-two billion, one hundred twenty-one million, nine hundred forty-eight thousand, six hundred forty".